Mathematics, 03.09.2020 04:01 alexmarche4675

Paula used these steps to solve an equation: Step 1: Step 2: Step 3: Step 4: Step 5: Between which two steps did Paula use the division property of equality?

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Answer from: 365371

Step 4

Step-by-step explanation:

Paula used these steps to solve an equation:

Step 1: -4(7 + 8) - 21 = 25

Step 2: -4r – 32 - 2x = 25

Step 3: -61 – 32 = 25

Step 4: -6x = 57

Step 5: x = -9.5

Between which two steps did Paula use the division property of equality?

Step 1: -4(x + 8) - 2x = 25

Opening the parenthesis

Step 2: -4x – 32 - 2x = 25

Combining x-terms

Step 3: -6x – 32 = 25

Adding 32 to both sides

Step 4: -6x = 57

Dividing both sides by -6

Step 5: x = -9.5

The Division Property of Equality states that: when both sides of an equation are divided by the same nonzero number, both sides remain equal.

The rule applies to step 4 where both sides of the equation is divided by -6(nonzero number) giving us x = -9.5

This means from the equation, x is equal to -9.5 and -9.5 is equal to x

The correct answer is step 4

Answer from: Quest

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )

Which is an x-intercept of the continuous function in the table

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

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